Compton reflection has been invoked to explain energy spectra of accreting
compact sources from galactic black hole candidates to AGN. While much
attention has been given to the spectral characteristics of the reflection
process, not much attention has been given to the temporal characteristics.
Temporal studies can provide additional evidence for support or rejection
of the reflection hypothesis. We treat the problem of time-dependent
Compton reflection produced by a point source of radiation illuminating
an infinite optically-thick disk of cold Solar composition material. We
present an analytic approximation for computing the reflected photon flux as a
function of time. The reflection produces a broad feature in the power
spectrum at a frequency f \sim c/h, where h is the height of the photon
source above the disk.